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Finding the Third Proportional to 38,349 and 82,162

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Solution

The third proportional to 38,349 and 82,162 is: 176,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349 : 82,162 = 82,162 : x
  2. Step 2: Convert to fraction form
    38,349/82,162 = 82,162/x
  3. Step 3: Cross multiply
    38,349x = 82,162 × 82,162
  4. Step 4: Simplify right side
    38,349x = 6,750,594,244
  5. Step 5: Solve for x
    x = 6,750,594,244/38,349
  6. Step 6: Final answer
    x = 176,030.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.